Suppose X and Y are discrete random variables with the following joint p.m.f., where any letters denote probabilities that you might need to figure out. f(x, y) X = -3 X = 0 X = 5 P(Y = y) Y = 1.6 a 0.2 0.1 0.3 Y = 27 0.3 d P(X = x) 0.2 f e (a) Find P(X > 0) (b) Find E(X) and E(Y)

Suppose X and Y are discrete random variables with the following joint p.m.f., where any letters denote probabilities that you might need to figure out. f(x, y) X = -3 X = 0 X = 5 P(Y = y) Y = 1.6 a 0.2 0.1 0.3 Y = 27 0.3 d P(X = x) 0.2 f e (a) Find P(X > 0) (b) Find E(X) and E(Y)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 29E

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Question

Q1
Suppose X and Y are discrete random variables with the following joint p.m.f., where
any letters denote probabilities that you might need to figure out.
f (x, y)
X = -3 X = 0
X = 5 P(Y = y)
Y = 1.6
a
0.2
0.1
0.3
Y = 27
P(X = x)
0.3
d
0.2
f
e
(a) Find P(X >0)
(b) Find E(X) and E(Y)
(c) Find Var(X) and Var(Y)
(d) Find Cov(X, Y)
(e) Given that Y= 1.6, find the conditional p.m.f of X

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